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Nebo - New7 - Page 1BrownianMotionLet'smodelarandommotionhappeningaround0,withequalprobabilitytogoleftandrightwithsameamounteachstep. X i = + Δ x → P X i = 1 2 X i = - Δ x n → P X i = 1 2 X = X 1 + X 2 + … + X n ⟨ X ⟩ = ⟨ X 1 ⟩ + … + ⟨ X n ⟩ ⟨ X i ⟩ = 1 2 × - Δ x + 1 2 × Δ x = 0 ⟨ X ⟩ = 0
Helloearthlings!
Last month of 2018 is upon us. Today, I would like to discuss "what life is" in terms of physics. In physics, a rock is not different than a kitten. The closest we got is nonlinear statistical mechanical theories of life. Prof. ilya prigogine was the frontier in this area. He got nobel prise in non equilibrium statistical mechanics. His work mainly consist of trying to show ordered structure can happen even if no equilibrium achived. Life itself is a non equilibrium phenomena, so there is some connection. Nowaday people are excited to do work in this area and try to describe life. As a matter of fact, I just started working in this area. you may check my old blogs about my preliminary work. It is also my privillage to do my phd in the ilya prigogine center of complex system while I was in UT austin. I attended Ilya prigogine's and coworkers seminars. I was asking so many questions in these seminars, one day he called me in his office and told me like my …
Nebo - New5 - Page 1Randomvariables,surevariablesstochasticprocess→timeevolutionofrandomvariablesX(t)
deterministicprocess→timeevolutionofsurevariables.X(t)Assigningprobability→statisticalorfrequencyinductive-equalaprioriindependentevent.expectedvaluesmoments ⟨ X ⟩ = ∑ i x i P x i Probabilities→mean(surevariables) Mean(firstmoment),Variance(2ndmoment);skewness(3rdmoment);kurtosis(4thmoment) v a r X = ⟨ X - ⟨ X ⟩ 2 ⟩ = ⟨ X 2 ⟩ - ⟨ X ⟩ 2 = σ 2 c o v X , Y = X - ⟨
Nebo - New4 - Page 1TodayIdecidetosharehowIworkonapaper.Asaphysicistoranyscientistactually,youneedtoreadpapersandseehowothersdothings.Iwillreadfollowingpaper:"Railwayswitchtransportmodel"byMartinHorvat,ThomasProsenGuilanoBenentiandGiulioCasati.PRE86052102(2012).Iactuallyknowalltheauthorsofthispaperandworked/meetwiththembefore.Firsttwoisstudent-advisorfromLubianaandlasttwofromitaly,Casatibeingthemostesteemed(andelderly)one.LetsstartIhavesomebackgroundonthiswork.InpreviouspaperItaliangroupshowsthatassymetryplayaroleinthermoelectricphenemonea